In this section, we illustrate how data-driven modeling can be leveraged to construct the ROM closure model.
Specifically, we outline the main steps in the construction of one data-driven ROM closure model, i.e., the data-driven variational multiscale ROM (D2-VMS-ROM) that was proposed in [1]} (see also [2]}).
To this end, we follow the presentation in Section 2.3 in [1]} to construct the two-scale D2-VMS-ROM.
(We note that a three-scale D2-VMS-ROM was also proposed and tested in [1]}.)
